Finding the Fourth Proportional to 10,449.56, 14,420.50 and 5,734.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,449.56 : 14,420.50 = 5,734.02 : x
2. Step 2: Convert to fraction form
   10,449.56/14,420.50 = 5,734.02/x
3. Step 3: Cross multiply
   10,449.56x = 14,420.50 × 5,734.02
4. Step 4: Simplify right side
   10,449.56x = 82,687,435.41
5. Step 5: Solve for x
   x = 82,687,435.41/10,449.56
6. Step 6: Final answer
   x = 7,913.01